Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
−
1
2
Decimal Form:
x
=
−
0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
15/13
Step-by-step explanation:
I'm assuming that the salary is for the whole year. If it is not, do tell me.
Tax = 10/100 * 45000
= 4500
You owe $4500 in federal taxes.
No. You can’t add the two lower numbers up to make the bigger number making them not a triangle.
